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Finding the Fourth Proportional to 74,361.50, 102,580.83 and 47,475.74

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Solution

The fourth proportional to 74,361.50, 102,580.83 and 47,475.74 is: 65,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,361.50 : 102,580.83 = 47,475.74 : x
  2. Step 2: Convert to fraction form
    74,361.50/102,580.83 = 47,475.74/x
  3. Step 3: Cross multiply
    74,361.50x = 102,580.83 × 47,475.74
  4. Step 4: Simplify right side
    74,361.50x = 4,870,101,248.55
  5. Step 5: Solve for x
    x = 4,870,101,248.55/74,361.50
  6. Step 6: Final answer
    x = 65,492.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.